To find the probability of drawing 2 blue marbles out of the bag, we need to first find the total number of ways to draw 2 marbles out of the bag, and then find the number of ways to draw 2 blue marbles.
Total number of marbles = 8 red + 3 blue + 2 green = 13 marbles
Total number of ways to draw 2 marbles out of 13 = 13C2 = (13 * 12) / (2 * 1) = 78
Number of ways to draw 2 blue marbles out of 3 = 3C2 = (3 * 2) / (2 * 1) = 3
Therefore, the probability of drawing 2 blue marbles out of the bag is:
3 / 78 = 1 / 26
So, the exact probability that both marbles drawn will be blue is 1/26.
A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
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